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Finding the Third Proportional to 390,119 and 838,435

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Solution

The third proportional to 390,119 and 838,435 is: 1,801,945.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,119 : 838,435 = 838,435 : x
  2. Step 2: Convert to fraction form
    390,119/838,435 = 838,435/x
  3. Step 3: Cross multiply
    390,119x = 838,435 × 838,435
  4. Step 4: Simplify right side
    390,119x = 702,973,249,225
  5. Step 5: Solve for x
    x = 702,973,249,225/390,119
  6. Step 6: Final answer
    x = 1,801,945.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.